# graph ```Graph coloring On
DNA &amp;&amp; RNA
At ﬁrst glance Graph theory may
seem to be a rather abstract and
theoretical mathematical ﬁeld that
came into existence when
Leonhard Euler solved a much
celebrated problem known as the
K&uml;onigsberg Bridges Problem in
1736.
Since then it has been exploited for
the solution of numerous problems
and to this day practical aspects of
graph theory have found a wide
range of applications.
We will present the application of
graph theory coloring on DNA &amp;
RNA.
The aim of our work is to find an algorithm to support the design of RNA
molecules capable of forming two or more alternative metastable
structures,DNA//////////.
This required to create a logical information model, thus isolating relevant
aspects of the biological problem and incorporating these into a graph-based
mathematical model.
So algorithm should reduces the problem by vertex coloring.
Graph Coloring :
A graph coloring is a consecutive assignment of “colors” to certain
objects in a graph: these objects can be vertices, edges or a mixture
of all of them. Most important for our purposes is the vertex coloring,
usually assuming that no two adjacent vertices are allowed to be
assigned the same color. A coloring of the graph G with k colors is
called a k − coloring and is a function
f : V (G)− &gt; 1, 2, ..., k, such that no edge e = (u, v) has f (u) = f (v).
```